7686072870 has 96 divisors (see below), whose sum is σ = 21655576800. Its totient is φ = 1740662784.

The previous prime is 7686072857. The next prime is 7686072887. The reversal of 7686072870 is 782706867.

It is a super-3 number, since 3×7686072870³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136246 + ... + 184214.

It is an arithmetic number, because the mean of its divisors is an integer number (225578925).

Almost surely, 2^7686072870 is an apocalyptic number.

7686072870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7686072870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827788400).

7686072870 is an abundant number, since it is smaller than the sum of its proper divisors (13969503930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7686072870 is a wasteful number, since it uses less digits than its factorization.

7686072870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48102 (or 48095 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 7686072870 is about 87670.2507695741. The cubic root of 7686072870 is about 1973.4895566667.

The spelling of 7686072870 in words is "seven billion, six hundred eighty-six million, seventy-two thousand, eight hundred seventy".